2. The preamble code according to claim 1, and as detailed in Table 2 in the disclosure.

3. The preamble code according to claim 1, and as detailed in Table 3 in the disclosure.

4. The preamble code according to claim 1, and as detailed in Table 4 in the disclosure.

5. The preamble code according to claim 1, and as detailed in Table 5 in the disclosure.

6. The preamble code according to claim 1, and as detailed in Table 6 in the disclosure.

7. The preamble code according to claim 1, and as detailed in Table 7 in the disclosure.

8. A cellular system using the preamble codes according to claim 1, 2, 3, 4, 5, 6 or 7.

9. A method for cellular communications using the preamble codes according to claim 1, 2, 3, 4, 5, 6 or 7.

10. A Method for preamble codes generation, comprising:

a. For each of the FFT modes: 128, 512, 1024, performing the following steps (b-d);

b. Generating various codes;

c. Codes evaluation in a predefined model including a wireless cell surrounded by other cells;

d. Selecting the highest performance codes according to predefined criteria.

11. The Method for preamble codes generation according to claim 10, wherein the selection criteria include minimizing PAPR.

12. The Method for preamble codes generation according to claim 10, wherein the selection criteria include minimizing cross-correlation.

13. The Method for preamble codes generation according to claim 10, wherein the selection criteria include minimizing cross-correlation and PAPR.

Description

The present application is related to, and claims priority from, the U.S. provisional application No. 60/582,820 filed on 28 Jun. 2004 and entitled “Preambles design for OFDMA PHY layer, FFT sizes of 1024, 512, and 128” and from U.S. provisional application No. 60/605,497 filed on 31 Aug. 2004 and entitled “Preambles design for OFDMA PHY layer, FFT sizes of 1024, 512, and 128”, both filed by the present applicant and inventor.

TECHNICAL FIELD

This invention relates to improvements in codes used in wireless communications, and more specifically to preamble codes.

BACKGROUND ART

The invention relates to improvements in preamble codes used in Orthogonal Frequency Division Multiple Access (OFDMA) for the physical layer (PHY).

The invention may be used, for example, to improve the communication performance in systems within the IEEE 802.16 Standard for Broadband Wireless Access. Such improvements may better adapt the OFDMA to a mobile environment.

The improvements may be used in the OFDMA PHY/MAC layers.

An important parameter in such communications is the Peak to Average Power Ratio (PAPR). Wideband signals may exhibit high values of PAPR, which pose high demands on the linearity performance of the system. That is, a large dynamic range is required to convey the high amplitude peaks associated with such signals.

It may be highly desirable to reduce the PAPR, to allow improved performance while concurrently reducing the costs of communication systems.

It is important to achieve improved performance in short codes, of length 128, 512 and 1K, in the preamble.

The communications may use various Fast Fourier Transform (FFT) values, thus improvements preferably should be capable at operating at these values.

DISCLOSURE OF INVENTION

This invention describes improved preamble codes having a lower PAPR value. For example, the preambles used in the 2K OFDMA mode were devised so as to have a lower PAPR, this having many advantages. For example, a lower PAPR allows to boost the preamble to get better performance in the estimation/acquisition/cell monitoring, etc.

The present disclosure includes improvements in the 1024, 512 and 128 FFT OFDMA modes.

Tables with series to modulate, for different FFT sizes, are disclosed in the present application.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 illustrates the PAPR distribution for FFT size 1024

FIG. 2 illustrates the Cross-correlation for FFT size 1024

FIG. 3 illustrates the PAPR distribution for FFT size 512

FIG. 4 illustrates the Cross-correlation for FFT size 512

FIG. 5 illustrates the PAPR distribution for FFT size 128

FIG. 6 illustrates the Cross-correlation for FFT size 128

FIG. 7 details a first wireless cell surrounded by a first tier and a second tier of cells.

Where required, the binary series may be lengthened by padding with zeros at the end of a sequence so the number of bits is a multiple of 4 (each hexa digit represents 4 bits) or a multiple of 8 (each byte represents 8 bits). The series may be then converted to hexa from the MSB to LSB.

Table 2 illustrates a preambles modulation series per segment and Cellid, for the 1K FFT mode.

Suggested title: Table 307b, if included in the IEEE Standard.

Table 3 illustrates a preambles modulation series per segment and Cellid, for the 512 FFT mode.

Suggested title: Table 307c, if included in the IEEE Standard.

Table 4 illustrates a preambles modulation series per segment and Cellid, for the 128 FFT mode.

Suggested title: Table 307d, if included in the IEEE Standard.

As disclosed in the U.S. provisional application No. 60/605,497 filed on 31 Aug. 2004 by the present applicant, the present invention may also be included as an improvement in the IEEE Standard P802.18e/D3 change, by adding on page 79 the paragraph in page 556 IEEE802.16d-2004 to read:

The PN series modulating the pilots are defined in Tables 307a-307d. The series modulated depends on the segment used and IDcell parameter. The defined series shall be mapped onto the preamble subcarriers in ascending order. Tables 307a-307d include the PN sequence in Hexadecimal format. The value of the PN may be obtained by converting the series to a binary series (Wk) and starting mapping the PN from the MSB of each symbol to the LSB. Thus, for example, 0 may be mapped to +1 and 1 to −1.

For example, in Table 307a for the 2K mode Index=0, segment=0, Wk=110000010010 . . . and the mapping may be:

−1, −1, +1, +1, +1, +1, +1, −1, +1, +1, −1, +1 . . .

Table 5 illustrates another embodiment of a preambles modulation series per segment and Cellid, for the 1K FFT mode.

Suggested title: Table 307b, if included in the IEEE Standard.

TABLE 1

The parameters used for each FFT size

Parameter

1024 FFT

512 FFT

128 FFT

Starting pilot carrier

87 + Segment

44 + Segment

87 + Segment

Carrier increment

3

3

3

for next pilot

Number of carriers

284/283

142

36/35

used for the

preamble *

Last carrier allowed

850

425

105

to be modulated

TABLE 2

Preambles modulation series for the 1K FFT mode

Number

CellId

Segment

Series to modulate (in Hexadecimal format)

0

0

0

A6F294537B285E1844677D133E4D53CCB1F182DE00489E

53E6B6E77065C7EE7D0ADBEAF

1

1

0

668321CBBE7F462E6C2A07E8BBDA2C7F7946D5F69E35A

C8ACF7D64AB4A33C467001F3B2

2

2

0

1C75D30B2DF72CEC9117A0BD8EAF8E0502461FC07456A

C906ADE03E9B5AB5E1D3F98C6E

3

3

0

5F9A2E5CA7CC69A5227104FB1CC2262809F3B10D0542B

9BDFDA4A73A7046096DF0E8D3D

4

4

0

82F8A0AB918138D84BB86224F6C342D81BC8BFE791CA9

EB54096159D672E91C6E13032F

5

5

0

EE27E59B84CCF15BB1565EF90D478CD2C49EE8A70DE3

68EED7C9420B0C6FFAF9AF035FC

6

6

0

C1DF5AE28D1CA6A8917BCDAF4E73BD93F931C44F93C3

F12F0132FB643EFD5885C8B2BCB

7

7

0

FCA36CCCF7F3E0602696DF745A68DB948C57DFA9575B

EA1F05725C42155898F0A63A248

8

8

0

024B0718DE6474473A08C8B151AED124798F15D1FFCCD

0DE574C5D2C52A42EEF858DBA5

9

9

0

D4EBFCC3F5A0332BEA5B309ACB04685B8D1BB4CB49F

9251461B4ABA255897148F0FF238

10

10

0

EEA213F429EB926D1BDEC03ABB67D1DE47B4738F3E92

9854F83D18B216095E6F546DADE

11

11

0

C03036FA9F253045DF6C0889A8B83BAEFCF90EB993C2D

79BD911CA84075061AA43DA471

12

12

0

1E68EC22E5E2947FB0A29E4CC70597254B36C60331EAC

F779FE752D3F55DC41ABFC7DC9

13

13

0

63A57E75A0434F035AAC4504B265081D497F10C77928B7

1797C5D6C6824DC0F23BE34EE

14

14

0

C57C4612816DE981C58FD6F8DE9DD41F2422ADBC522B

0CE31F9A6D5F2A126DC08F69FB1

15

15

0

978256AF184E7ED17789B33D324C711B36BFBCCE5446E

B03687E9A0A839C7CE156104D2

16

16

0

011EC823157DD73150640CEB7DDB0A1F8F91E09599A85

1D5C7CAF687CFB752D297D82FC

17

17

0

C6DE82BEB7F57B9120E8A376D85C8F70FDC65BC660402

DAC4AE6002EA2740C4F9E5973C

18

18

0

4C74929D6F9FAB9E5BB761026038E076F6824295E0AF397

806ECEBC6DC713F03ACDC27C

19

19

0

596F18F3D454D581BBC0A414F43B595E270AD5E5AA3D4

CE6BF4860093EA13B271934344

20

20

0

13E1E85C2234D0F3418001A35F135E10C6C918C36BC659

FDA9D655D288A0BDAA8BF489D

21

21

0

FD4AF2D8F4F08F1A7DF59291C9AEE788F641B8231CFB8

13376E0BEB68DFCFCBBE552445

22

22

0

315E59049D478B0ADB32740B583DFE465F76B1F2021D0F

5829B34A09EB1D85E0531082E

23

23

0

EBBC77A493AA0C62C62F25EE5E8D0701F50386F49026F

A31487C9FD5C5206CE4EB00576

24

24

0

134F936F9E875842587ADCA92187F2FC6D62FFC3A833D8

CDE465F9972ABAA83763AAEB7

25

25

0

3CD1DA70670BC73363D1B4A66D280FF6AA7636D07ECF

32BA26101E5EBA1594FB8A0420A

26

26

0

918296B2937C2B6F73CF98F85A81B723D1C69DBDF3E019

749C582DA22E789562729D475

27

27

0

C323981B8B2240865F48D61AE1B3B61D88522B7358952F9

49D4308CA15D1EE8FDFA683F

28

28

0

7514A6FA5FBB250C5C8CE96F791D676036C344A44B2428

4477B44CB3E758F8BCD58F05B

29

29

0

84C7FEC6E977FA1EC0C7CC9E0D067C73D8F846F82ABB

3456D2104E1448D5A58D5975152

30

30

0

A0028A7F873AF31DFF45970F51E477346CF8EDD9EFE076

94DCCDD6DAEC32694A1176D68

31

31

0

4841AFC277B86A0E067AF319422F501C87ACBFBDD66BF

EA3644F879AE98BA8C5D605123

32

0

1

F35EA87318E459138A2CE69169AD5FD9F30B62DA04ED2

1320A9F59893F0D176752152FD

33

1

1

A0C5F35C5971CD3DC55D7D2B9FD27AA17A198583F580

EB0800744EE5B6B3648DEA95840

34

2

1

A6D3D33AD9B56862DBF076E3ACE6A3150510CCC8BE77

DE4E6E10EB5FE163765647D07DF

35

3

1

F335D714EDB2251A374746686EBBB485AF9A13C0F45324

AE7D73A8C2016FE1A7C24A052

36

4

1

3B841526CCF9D4E1BB79E45E83F69A523A006B02BFCAC

95594F4DDCB95705ADEBCF365F

37

5

1

52849D8F020EA6583032917F36E8B62DFD18AD4D77A7D

2D8EC2D4F20CC0C75B7D4DF708

38

6

1

8E353EC8162F5BB6947F1843C84FE4114616B8CAA45BE4

BF718899D818B5B4074FCDB4F

39

7

1

CC53A152209DEC7E61A06195E3FA633076F7AE1BAFFE8

3CE565087C0507BA596E0BD990

40

8

1

17D98A7E32CCA9B142FE32DB37B2BF726E25AA7A557F

FB5C400B47A38B16CF18E1EDE63

41

9

1

5B0B7631EFE3FFE1B558E7619DB8DD71D40E6CD6E4D5

517C8FACD20B6A9B85CCBC340CB

42

10

1

2B08F06EEB736C84585AAC5BF912A249BD2109F841F441

68E0D2971841976D0E28FCDEB

43

11

1

D3AA20EF175DF3BD96D638D6797A8AA4DE51A9104464

65736E4D7953C8D50AD3D7A0096

44

12

1

A5BA8C7E2C795C9F84EBBD425992766BDE5549A7A9F7

EF7E44AFD941C6084568638FE84

45

13

1

33E57E78A5696255CA61AE36027036DA619E493A0A8F95

D9915C6E61F3006CB9706BEBA

46

14

1

09961E7309A9B7F3929C370C51910EBAB1B4F409FA976A

E8679F354C84C4051F371F902

47

15

1

508A9EBAEF3C7E09CFCFC0B6F444A09B45A130EFC8C5

B22BCE87213854E7C9D329C9ADC

48

16

1

FBCD16253DF81FDC86F726AAAF4F33EE771489281A641

84F3A929BD230A2D6AE4EC9E1C

49

17

1

AACEEF9BCDC82E4AD525185B07CBABCB74861D16F7C

25CFBA917B05463AD65391AF840D

50

18

1

23060ACC5A125DAB207EEEE47B4EEE1E8466BD17DDA

2EB3CD90D2AB7A758C213E6D7FE5

51

19

1

CA55521667BDA8B6F1B205201A51B3A0C05DE9EA06BC

73268730A81A992777021F46055

52

20

1

05ADFCA2F8207DC6FF8D1A85A1DD4694D4C48A838C4F

833C532710021AC448A7B62B8DD

53

21

1

EDB5D94052CF0D9A573078FB0EEDAB142ECA77547E04

E91C6A0037B2110924BCAD8F359

54

22

1

218C951223D7B712DC98F8B5217388A830003C5F2A00F2

32DD3475D2FC78C25B8D88FF9

55

23

1

79B94D24D721121EF678B7156F8D2666DE712BBF3837C8

5A9518781903146A7B4D42A28

56

24

1

58AABEF6A6BDE4011CAC583C5104B2C6FC5A2980F856

373E5931A3C690245327581FA13

57

25

1

429492DBCFE43A1B8C8037433003543CA2CF03035D13B

A70BD773C6117D92E1B0446C9D

58

26

1

427D1AD18E338E16FCE6E23B4AD6D82A2144D53048F26

65AA94577AFABD26889FCB1F9F

59

27

1

337FE0E4C15A22471AE0F6B6F91161A7DE2E1403D73587

D5C8355105D2F70642B2CE425

60

28

1

CC78DB7CAE28F42C00E9C857082C7BFA276386FDE9053

73D1E99DFC52D7C23520BECE2D

61

29

1

499FDB04EACA4BF7C9D956DC26E57A9AC636861AE955

7F39792D1D70D0034067A9F4E73

62

30

1

A3FCAA311B536AC9DB39FED9F4E996506B3181C58D6B

7E04157A3FD463F60468765BCFD

63

31

1

F484FD1F57F53A4A749B86148E0B1D0653667CE13931988

75DDB0AE9179BBBDAAD53A11

64

0

2

29F529BD5762F27ACD3A0836AC6C8953951C04C67B92F

05919F382C811D4C0EF9C01488

65

1

2

A3E9ECF1E6048562BC89DB6168E708855F0D4AD29F859

EF36C9160DF407D85426233632

66

2

2

890519376D1FFAA2894EABCD6663B0A3C2411982C17B0

1270E0FB0B289D4BC8C3B83DA9

67

3

2

54FD243CC4DAA9B8E4D47F2DE45605D6EF2C17259CD1

0EF9EBC7B92F7F7299129080C75

68

4

2

BAC53AA6F0291E10E2CE9B52D22B682637B1F5501531B

7F1EE6A649E2404196A028ED10

69

5

2

2C41D56E693B529AFC883E79ABE6B829201F132E6261A0

1973B4225CEE7116CEDADB2F2

70

6

2

09847B6187BB5F6F6728B4ED610088FAD9DADFC00748E

9DCD8A0CE320D6C991654ABE05

71

7

2

91425CEE8F1DFD79EF572F9C66CB60BD4757E0519F1336

84B5A2F4E3E266532584DBEEE

72

8

2

3285AE0A3D196313659C37BE1C94D61D20F11FD49D9FD

F9D1026FF5763F02CB78AE135C

73

9

2

0069D3F34D0D455AFB45FEFDF716333B785C6BDA90DA

23F1CC68BC6A1DBC916C595DA3E

74

10

2

AA977A8BCA39381E7C35A1ACC7C4F60421C0862BFD61

06C7C025B0676EA0EF68972DD8F

75

11

2

F310745C497094ABE56E0490C0800319DBE290553E696B6

859635AF03B121F79D925D19

76

12

2

964DFD350B9C7DFDC7F6F7C43283A76F0D613E48A5520

D1DAF761C6F47E389B43A023F5

77

13

2

8102E980BC69C2C3BE45452169DCA6C45C21B2A6DF69B

12731FEF06399EA130752CF567

78

14

2

6D767B88D28A455CC3B56C942BAFD8E465A50FD2C22F

E6162E03A9AAC3C1CC899800610

79

15

2

C5491C6CA3D998906EC1482F815B74B7C2E3816B682AC

C6009AB7EFF34BF0E9CE59C754

80

16

2

237DB73895531253E3D7A62F485FD5D8ECAE11BE29E10

22DF659CB39A3C44120C5A0731

81

17

2

6D8EE32D30E19D93A0E5AD8226BAE9CF6FCBA17CF6E

67FDC5A15A81ECB8908BEDD77C80

82

18

2

A1A67B19CD5E80A7C1DE5780D1E594990482AA96DA82

C64AE51AB7EF3857A8F0B162888

83

19

2

98F8BFDF774C7A249418E6FF4723D6E6AB2F091CDE4DE

1CE11D3BD463B509FB716940FD

84

20

2

8E5AB6F13AAC09CA5854781ACA774F68238387806AD6C

CC13EEF92B267F7FC576542AF1

85

21

2

477F8BD8905FDBF55191FC82D674094E080B539C743C19

C1064E6CA37CE692F52CB8164

86

22

2

7AFF110DBC3B44E4CA6054768146ABFAFFBB0862A196

D69A972FC318D922F620EA0F345

87

23

2

65300BAD8FFA21BC7DC2C1F79FA97A9F469CCC9E270A

61759F34D6276F57CBEB009CD21

88

24

2

F51AB5A322B4FA8C8DA65D96582C575ECDF96FCAF41D

DE3A84AF8663CF4141888FEC269

89

25

2

6F36BB6D5A7DC4FB720439E91FF0DE86DD6C4B93CFC4

271F2BCC6169616E3AEAA19E360

90

26

2

1A4186FD2DE2B2B5FFA3A96DD0AF4673026FFE4F14551

754CB2FE35E634F27A4CC7931B

91

27

2

7B6FF9A8738324CBB48BBD575ABD339B581FE16742526

E2A62A2D8D030B8712B2488DEF

92

28

2

D318414132A10423E99D0D952BCE250F93056CFDD86E0

AC2839CFC816F195DACF581F30

93

29

2

D056262D32B6B5C75D06411B5C3AB93B94FF48DDF9523

127F74104B873AE1114B60BF3E

94

30

2

D27B00C70A8AA2C036ADD4E99D047A376B363FEDC287

B8FD1A7794818C5873ECD0D3D56

95

31

2

E7FDDCEED8D31B2C0752D976DE92BEA241A713CF818

C274AA1C2E3862C7EB7023AF35D4

96

0

0

0D26B8D5452948E30FD29D36E8404C8456657A6CBEEFC

D91BB14F91E291F2C1C8F4119F

97

1

1

2CC0EEF167D75102669A814D11A51E569D07A7433A9762

A292D7E2A4FE35B9130FD67DE

98

2

2

FB5CBD0CB6FA80C8B3560B4C443BA4900BF2729B16009

8C2F783A7752B8BA235010A1DA

99

3

0

87BF4954022D30549DF7348477EACB97AC3565B838460C

C62F242883313B15C31370335

100

4

1

076BF72542FB9FEBDEC3C316BC28CF0607BCEC5399EC9

228905375D3D15F929B586D7E6

101

5

2

82DD830BEDE4F13C76E4CF9AEF5E42609F0BDDCB000A

742B6372DD5225B0C3114494746

102

6

0

4E06E4CF46E1F5691938D7F40179D8F79A85216775384BD

97966DB4BBF49FB6FAB8F945

103

7

1

8A842EF53464D03A34EE088E38118CB89F79035272B8ED

06C8E13A16B34FBFC5BF9CDA4

104

8

2

43380948BFA0642029561E309F371E153174A4E7AC511F8

861BE87D9F4D9246C93C2A92

105

9

0

32DE5121E785059F81D9A777565C51EFBB4F61B77ED088

70652A4DC32DEA58A8CC6F456

106

10

1

64164534569A5E670FDB390D09C04802DD6A16B022CAD

C77EDD7464AFED43C773A8DC76

107

11

2

FB8769A81AA9DB607F14A6A95948401F83057CDC9C9C3

996BA5821403A49F00A4E35191

108

12

0

77710D6F40B4F79CC63F678551C3EC18FA9DF2C82E6C8

F415DADFD63264B7513180070E

109

13

1

3843D2B038045CB9C516B325BC0E242311ACFA807FDC4

0A8AD259B77F376C931A6F6AF0

110

14

2

503F196BBF93C238BFD5E735E5AE52E0DAE64F5E2F4C3

B92E553F51303C4A64C4403BF3

111

15

0

CA346FCCF511822F524C043D2003F3B12DCFEA276B91B

A98EB3984BBCFDF75C2A2E1B27

112

16

1

5FD4A6894566678C95B9D5A59DDE5366799045FEB03A2

BAA74094140E9068C61C2E972C

113

17

2

E68AE62D2EE51B14F9D33ED737253CDB55A6E27725405

0830F2FE409E5EE284534FC3E5

TABLE 3

Preambles modulation series for the 512 FFT

Num-

Cell-

Seg-

ber

Id

ment

Series to modulate (in Hexadecimal format)

0

0

0

66C9CB4D1C8F31D60F5795886EE02FFF6BE4

1

1

0

D8C30DA58B5ED71056C5D79032B80E05522C

2

2

0

8EB62664E3B2C5222DE18E9000561F25AAFC

3

3

0

3B32299087C257CD31C67E4AA5DD697B0E08

4

4

0

3B32299087C257CD31C67E4AA5DD697B0E08

5

5

0

C07E0B0C5DB44071EE6CEC40CA3135CB5DB8

6

6

0

C07E0B0C5DB44071EE6CEC40CA3135CB5DB8

7

7

0

89B08CD299A8AC757DB59107AF4E1EF1EE1C

8

8

0

1B72E8C0ECFAABF050091382B411B45A718C

9

9

0

5B33ED5A6303397EC3CCC35C8203A5A05178

10

10

0

AD1173C461254BF9181238319F93F86AF964

11

11

0

2662789A0B78BA5EDEB403CE5D62A802D50C

12

12

0

51E2005BBA69C858BCC741D84990B657271C

13

13

0

21A03B607DD96F270CBC759B2A9BD6A84A34

14

14

0

4518EC4C7AD645D24AD949B42A7881403C7C

15

15

0

F8B70C595A37315D301D378A4D2848C821D4

16

16

0

487DD10C5F24C1A9AFD9D8F442B073446480

17

17

0

F8B70C595A37315D301D378A4D2848C821D4

18

18

0

FF42582005F8382C5CC6298D757155B36B24

19

19

0

599EF40107CBB3B30AF945365494A0D60570

20

20

0

C6D6BE87F0D88458ABD22DE822B64E450738

21

21

0

5D4D86E62D6B3CA63F76C85AE79F14217408

22

22

0

E043896829F236B10A35014D9E4F26ECB95C

23

23

0

2347472A610FC084C71460393AEF36CBE928

24

24

0

5F4D880DC516DC0B3860DA948225D2BC6770

25

25

0

9EFEEA99631FAF0D9589E9640BCD56C5FF08

26

26

0

9EFEEA99631FAF0D9589E9640BCD56C5FF08

27

27

0

FE792EF83B235B3D4A6447BED27035454BC0

28

28

0

B3B1B868C121C4555A64161B654A4FE81D70

29

29

0

476EA99AF9F73D018EB649F2EE789CE0B4EC

30

30

0

B7C2D44078510ADD2447D93E8A1231AE3910

31

31

0

16A9D8F71CC1CD0EFA0008AA343A7A4ADA4C

32

0

1

2815DA9666DFBCCFAEEA82F965B70E06F42C

33

1

1

7389FDE96166E7E40F7A6778AA02944937A4

34

2

1

7389FDE96166E7E40F7A6778AA02944937A4

35

3

1

A0598A0907798B3465DD8CBD08565F0FB5B8

36

4

1

0E75B3C128085C954A25E5808FC5833A8FB0

37

5

1

BBCDA362265B4D4D2BEE80F635E638316280

38

6

1

660047B06A1B5FAE6A9F0679DBCA9B1A2DF4

39

7

1

117773F464DFB00EC570DB2C8546B534A388

40

8

1

2594AE119CB87E802D67EF7EE0EAE99474CC

41

9

1

2594AE119CB87E802D67EF7EE0EAE99474CC

42

10

1

86823FCCBA812BF28F4EF65732E938361484

43

11

1

8800AECA9BF4C9CB5B4A32D950E1B8FC8740

44

12

1

8FB3FA462D2CFAF842BB5319D9786A997C10

45

13

1

8FB3FA462D2CFAF842BB5319D9786A997C10

46

14

1

599E199B609C0C654DB053E8C94F343AAFF8

47

15

1

E0187D89220D11B5F60DAC078A5E2EED6EF0

48

16

1

E0187D89220D11B5F60DAC078A5E2EED6EF0

49

17

1

B71B524A36024F5B93F827D59DE7DF2238F8

50

18

1

304CD86DFE201256227046C3D0AE7D5F51CC

51

19

1

D2D899FBB154C422F25F218E432E483AE7A0

52

20

1

CB766885201284B65C6460F29AAE9411BF18

53

21

1

69F57E074F14A10FEC6144C26E98C4688330

54

22

1

24C5314B4FC521470F94DFE0F72AB8DB1910

55

23

1

6E4E07CC03CD3E0BDEEAB58975B4CA8E777C

56

24

1

D2C4067132528AA41BBE61A9C171A382F768

57

25

1

B027CB82594D3900700B541A99CCD5FD5870

58

26

1

24C5314B4FC521470F94DFE0F72AB8DB1910

59

27

1

76A0B07A726FB16B905A4678708759042288

60

28

1

E9B565C61F73EC6633A1F2D96EC409495B80

61

29

1

E9B565C61F73EC6633A1F2D96EC409495B80

62

30

1

EBD7E29110582C5951233AB22B03DE709698

63

31

1

0CCA91DA1B42B0B55C924F32B08B1FAE0E18

64

0

2

60F073332D4EE53CC709FFF645F545AA0348

65

1

2

928E1442069F540326E72775785C2788D3A4

66

2

2

928E1442069F540326E72775785C2788D3A4

67

3

2

5633AC03D79BE3901A79E1FFAF65B3756448

68

4

2

0F93A3C4ED837D800637B5F52FB1D73B9A68

69

5

2

F110CE0220306AD14EECEC07AC36EB28725C

70

6

2

A4213FFB85B56E27C74FC6ECBA359875438C

71

7

2

1A37F92589686CFE5E4D4BFD8E2BC63AA8CC

72

8

2

1A37F92589686CFE5E4D4BFD8E2BC63AA8CC

73

9

2

31531C7B2F7518BF59ACFB216FC74D09F2F4

74

10

2

CE026112DF00BB74E1B1F43B595112B16344

75

11

2

503494DE054AE395883AEDD8CC7801B8F124

76

12

2

503494DE054AE395883AEDD8CC7801B8F124

77

13

2

261EAF7C9AFAB5109DEC8A968A79F90F10CC

78

14

2

234AEE2720BAF6D7C7D6B9E628177243EC98

79

15

2

8447E25CA9A0EE1CFB9FADB6C42B8F565B3C

80

16

2

8447E25CA9A0EE1CFB9FADB6C42B8F565B3C

81

17

2

E571539289316AB94B6DF923124F5F91CF34

82

18

2

757C45DA8F140FB6E71024294B2439CDACFC

83

19

2

F2A59A32B51CE505E45E9B5C7C7DBE880DF4

84

20

2

06EA6FE59D24AFFF1A789F068ACE32B76A54

85

21

2

FBDD67D1E2F87744FA17E6821AD8D8D3A528

86

22

2

DCC89E78138BAFE47555B6F97128D4F394A4

87

23

2

34DFF9E83D74050A72C61908EC53E8C0CC88

88

24

2

8DFBF09479BC91E466A539E077D2B26A8B2C

89

25

2

BE4DEB5A007D6B39A0CA0611C323A7A6716C

90

26

2

38BCA168FED54EEF63E858444D0CB936C108

91

27

2

15CA281F8FC9BFBF340FAC8EE3236D3972D4

92

28

2

1C6FB87D76DB82FFA1E492166684CACEE560

93

29

2

524CF9B10D3F1AF51BAF9731980C2CF41D60

94

30

2

524CF9B10D3F1AF51BAF9731980C2CF41D60

95

31

2

E0503D5DFA4A57704C718920F3245A436624

96

0

0

A32CF584137FDF1D4CCE6A1CF40FEC1F4AE0

97

1

1

EC4D3AC52136FA468F28777078C8A82C0808

98

2

2

379C84F3A2A3EFEC4B866EB8710D209A54BC

99

3

0

30CABB208C9D6C774814A163765E4ACBC540

100

4

1

30CABB208C9D6C774814A163765E4ACBC540

101

5

2

7AED914DFCB6A06858382BC4ABC6625C44D0

102

6

0

CA3448C6716F6F8D15D7372A3A4F6E825A14

103

7

1

1C7B1FD490936A2B573037CDF699BD50F068

104

8

2

2D0FC9267E8546393BF113A1AEA2922128C0

105

9

0

ABD1526F4A510F820B689F30C1E7B88C8848

106

10

1

D9F00A909C7B9D92E7EE8477CB50D9456580

107

11

2

9AA34CA12E72C28DD0E97E5DCC4808C36700

108

12

0

36D738CD3F9F8D2D3BFB20F6AA32B31540F8

109

13

1

D54203CE6775B80D1963027DA3EB12D7C9D0

110

14

2

7AC41CAAE627C46C2FCD23D9B7DECB2E2E18

111

15

0

7AC41CAAE627C46C2FCD23D9B7DECB2E2E18

112

16

1

94E4E2AE2C4E47FD7D0A154C25BF40F759E0

113

17

2

43BFFD566D85BE162650670BE1A3CA523284

TABLE 4

Preambles modulation series for the 128 FFT mode

Series to

modulate (in

Hexadecimal

Number

CellId

Segment

format)

0

0

0

01E52A9B3

1

1

0

C96FF8AB1

2

2

0

A1F5CE648

3

3

0

1E2BF6919

4

4

0

051798B72

5

5

0

932D7FA8E

6

6

0

932D7FA8E

7

7

0

2CBD50F73

8

8

0

F86F6A451

9

9

0

2BA44F7E7

10

10

0

EEFA172C3

11

11

0

FF46C729A

12

12

0

11C1DEA49

13

13

0

E02B1D6D9

14

14

0

0362D5C61

15

15

0

27DDC7CA5

16

16

0

17EAEDAC6

17

17

0

94ACD9E03

18

18

0

F01472932

19

19

0

D345E8C40

20

20

0

1A1AC22DD

21

21

0

FD5E18DA6

22

22

0

07116DA91

23

23

0

35DEB6E0E

24

24

0

A0185E326

25

25

0

93B3F9C75

26

26

0

0FF3CDCD5

27

27

0

AAD266780

28

28

0

632481EA8

29

29

0

9B2D6A380

30

30

0

B5D3C6740

31

31

0

C1DDDF6A5

32

0

1

8BB8104A5

33

1

1

64C4215F0

34

2

1

64C4215F0

35

3

1

6B7C8AE0C

36

4

1

0CE481A55

37

5

1

AA5B9E7E6

38

6

1

87C89EF75

39

7

1

5A83EF8CC

40

8

1

207AA794C

41

9

1

FA3A6D7AC

42

10

1

6A4D1C403

43

11

1

972C3FCEE

44

12

1

44B91C10D

45

13

1

404AD1671

46

14

1

8039A8B46

47

15

1

7761B4BD7

48

16

1

78376108A

49

17

1

31ABBF06D

50

18

1

69C6E455F

51

19

1

AB3B3CFF0

52

20

1

15319240F

53

21

1

731412685

54

22

1

E1A55FF33

55

23

1

0FF3CDCD5

56

24

1

A3135C034

57

25

1

FC9DB558E

58

26

1

FECCB2B85

59

27

1

AA37BDA7C

60

28

1

90955CE1F

61

29

1

ADBC1B844

62

30

1

A04A3B197

63

31

1

015E56CB3

64

0

2

38E8240AD

65

1

2

382A846DB

66

2

2

E4D7DE350

67

3

2

E4D7DE350

68

4

2

ABCF97B09

69

5

2

249DEABE3

70

6

2

B233CA140

71

7

2

B233CA140

72

8

2

543C676DB

73

9

2

DBE7E42AE

74

10

2

DBE7E42AE

75

11

2

A7957FC4C

76

12

2

64D6F4038

77

13

2

4D0F99EF5

78

14

2

D2DD02238

79

15

2

FEA763CB2

80

16

2

3672D5700

81

17

2

64D6F4038

82

18

2

8CE0D5FB6

83

19

2

CC25D7A7E

84

20

2

CC25D7A7E

85

21

2

CC25D7A7E

86

22

2

1DCEBCBB6

87

23

2

55B6F39F8

88

24

2

01ECB468C

89

25

2

6F6C13855

90

26

2

5DA531038

91

27

2

7019D3A92

92

28

2

784CF7EAB

93

29

2

5AAC86FCF

94

30

2

E98250DC4

95

31

2

3F0C9ABBD

96

0

0

57ED9398F

97

1

1

C725A2E40

98

2

2

64F194A80

99

3

0

575A313E4

100

4

1

E4BEEBD18

101

5

2

332D6AA0F

102

6

0

FBD62ECA6

103

7

1

38665B015

104

8

2

07085DAC8

105

9

0

4CEEB5E1F

106

10

1

9E5CD5B80

107

11

2

B428BA19C

108

12

0

63A76FD05

109

13

1

517C8460C

110

14

2

A1B58A608

111

15

0

558DA7003

112

16

1

FF64761CA

113

17

2

7DF07735A

TABLE 5

Preambles modulation series for the 1K FFT mode

Number

CellId

Segment

Series to modulate (in Hexadecimal format)

0

0

0

A6F294537B285E1844677D133E4D53CCB1F182DE00489E

53E6B6E77065C7EE7D0ADBEAF

1

1

0

668321CBBE7F462E6C2A07E8BBDA2C7F7946D5F69E35A

C8ACF7D64AB4A33C467001F3B2

2

2

0

1C75D30B2DF72CEC9117A0BD8EAF8E0502461FC07456A

C906ADE03E9B5AB5E1D3F98C6E

3

3

0

5F9A2E5CA7CC69A5227104FB1CC2262809F3B10D0542B

9BDFDA4A73A7046096DF0E8D3D

4

4

0

82F8A0AB918138D84BB86224F6C342D81BC8BFE791CA9

EB54096159D672E91C6E13032F

5

5

0

EE27E59B84CCF15BB1565EF90D478CD2C49EE8A70DE3

68EED7C9420B0C6FFAF9AF035FC

6

6

0

C1DF5AE28D1CA6A8917BCDAF4E73BD93F931C44F93C3

F12F0132FB643EFD5885C8B2BCB

7

7

0

FCA36CCCF7F3E0602696DF745A68DB948C57DFA9575B

EA1F05725C42155898F0A63A248

8

8

0

024B0718DE6474473A08C8B151AED124798F15D1FFCCD

0DE574C5D2C52A42EEF858DBA5

9

9

0

D4EBFCC3F5A0332BEA5B309ACB04685B8D1BB4CB49F

9251461B4ABA255897148F0FF238

10

10

0

EEA213F429EB926D1BDEC03ABB67D1DE47B4738F3E92

9854F83D18B216095E6F546DADE

11

11

0

C03036FA9F253045DF6C0889A8B83BAEFCF90EB993C2D

79BD911CA84075061AA43DA471

12

12

0

1E68EC22E5E2947FB0A29E4CC70597254B36C60331EAC

F779FE752D3F55DC41ABFC7DC9

13

13

0

63A57E75A0434F035AAC4504B265081D497F10C77928B7

1797C5D6C6824DC0F23BE34EE

14

14

0

C57C4612816DE981C58FD6F8DE9DD41F2422ADBC522B

0CE31F9A6D5F2A126DC08F69FB1

15

15

0

978256AF184E7ED17789B33D324C711B36BFBCCE5446E

B03687E9A0A839C7CE156104D2

16

16

0

011EC823157DD73150640CEB7DDB0A1F8F91E09599A85

1D5C7CAF687CFB752D297D82FC

17

17

0

C6DE82BEB7F57B9120E8A376D85C8F70FDC65BC660402

DAC4AE6002EA2740C4F9E5973C

18

18

0

4C74929D6F9FAB9E5BB761026038E076F6824295E0AF397

806ECEBC6DC713F03ACDC27C

19

19

0

13E1E85C2234D0F3418001A35F135E10C6C918C36BC659

FDA9D655D288A0BDAA8BF489D

20

20

0

FD4AF2D8F4F08F1A7DF59291C9AEE788F641B8231CFB8

13376E0BEB68DFCFCBBE552445

21

21

0

EBBC77A493AA0C62C62F25EE5E8D0701F50386F49026F

A31487C9FD5C5206CE4EB00576

22

22

0

134F936F9E875842587ADCA92187F2FC6D62FFC3A833D8

CDE465F9972ABAA83763AAEB7

23

23

0

3CD1DA70670BC73363D1B4A66D280FF6AA7636D07ECF

32BA26101E5EBA1594FB8A0420A

24

24

0

918296B2937C2B6F73CF98F85A81B723D1C69DBDF3E019

749C582DA22E789562729D475

25

25

0

C323981B8B2240865F48D61AE1B3B61D88522B7358952F9

49D4308CA15D1EE8FDFA683F

26

26

0

7514A6FA5FBB250C5C8CE96F791D676036C344A44B2428

4477B44CB3E758F8BCD58F05B

27

27

0

84C7FEC6E977FA1EC0C7CC9E0D067C73D8F846F82ABB

3456D2104E1448D5A58D5975152

28

28

0

4841AFC277B86A0E067AF319422F501C87ACBFBDD66BF

EA3644F879AE98BA8C5D605123

29

29

0

F35EA87318E459138A2CE69169AD5FD9F30B62DA04ED2

1320A9F59893F0D176752152FD

30

30

0

A0C5F35C5971CD3DC55D7D2B9FD27AA17A198583F580

EB0800744EE5B6B3648DEA95840

31

31

0

A6D3D33AD9B56862DBF076E3ACE6A3150510CCC8BE77

DE4E6E10EB5FE163765647D07DF

32

0

1

52849D8F020EA6583032917F36E8B62DFD18AD4D77A7D

2D8EC2D4F20CC0C75B7D4DF708

33

1

1

CC53A152209DEC7E61A06195E3FA633076F7AE1BAFFE8

3CE565087C0507BA596E0BD990

34

2

1

17D98A7E32CCA9B142FE32DB37B2BF726E25AA7A557F

FB5C400B47A38B16CF18E1EDE63

35

3

1

A5BA8C7E2C795C9F84EBBD425992766BDE5549A7A9F7

EF7E44AFD941C6084568638FE84

36

4

1

33E57E78A5696255CA61AE36027036DA619E493A0A8F95

D9915C6E61F3006CB9706BEBA

37

5

1

09961E7309A9B7F3929C370C51910EBAB1B4F409FA976A

E8679F354C84C4051F371F902

38

6

1

508A9EBAEF3C7E09CFCFC0B6F444A09B45A130EFC8C5

B22BCE87213854E7C9D329C9ADC

39

7

1

AACEEF9BCDC82E4AD525185B07CBABCB74861D16F7C

25CFBA917B05463AD65391AF840D

40

8

1

23060ACC5A125DAB207EEEE47B4EEE1E8466BD17DDA

2EB3CD90D2AB7A758C213E6D7FE5

41

9

1

CA55521667BDA8B6F1B205201A51B3A0C05DE9EA06BC

73268730A81A992777021F46055

42

10

1

05ADFCA2F8207DC6FF8D1A85A1DD4694D4C48A838C4F

833C532710021AC448A7B62B8DD

43

11

1

218C951223D7B712DC98F8B5217388A830003C5F2A00F2

32DD3475D2FC78C25B8D88FF9

44

12

1

79B94D24D721121EF678B7156F8D2666DE712BBF3837C8

5A9518781903146A7B4D42A28

45

13

1

58AABEF6A6BDE4011CAC583C5104B2C6FC5A2980F856

373E5931A3C690245327581FA13

46

14

1

427D1AD18E338E16FCE6E23B4AD6D82A2144D53048F26

65AA94577AFABD26889FCB1F9F

47

15

1

337FE0E4C15A22471AE0F6B6F91161A7DE2E1403D73587

D5C8355105D2F70642B2CE425

48

16

1

A3FCAA311B536AC9DB39FED9F4E996506B3181C58D6B

7E04157A3FD463F60468765BCFD

49

17

1

F484FD1F57F53A4A749B86148E0B1D0653667CE13931988

75DDB0AE9179BBBDAAD53A11

50

18

1

A3E9ECF1E6048562BC89DB6168E708855F0D4AD29F859

EF36C9160DF407D85426233632

51

19

1

890519376D1FFAA2894EABCD6663B0A3C2411982C17B0

1270E0FB0B289D4BC8C3B83DA9

52

20

1

09847B6187BB5F6F6728B4ED610088FAD9DADFC00748E

9DCD8A0CE320D6C991654ABE05

53

21

1

3285AE0A3D196313659C37BE1C94D61D20F11FD49D9FD

F9D1026FF5763F02CB78AE135C

54

22

1

0069D3F34D0D455AFB45FEFDF716333B785C6BDA90DA

23F1CC68BC6A1DBC916C595DA3E

55

23

1

AA977A8BCA39381E7C35A1ACC7C4F60421C0862BFD61

06C7C025B0676EA0EF68972DD8F

56

24

1

F310745C497094ABE56E0490C0800319DBE290553E696B6

859635AF03B121F79D925D19

57

25

1

964DFD350B9C7DFDC7F6F7C43283A76F0D613E48A5520

D1DAF761C6F47E389B43A023F5

58

26

1

6D767B88D28A455CC3B56C942BAFD8E465A50FD2C22F

E6162E03A9AAC3C1CC899800610

59

27

1

C5491C6CA3D998906EC1482F815B74B7C2E3816B682AC

C6009AB7EFF34BF0E9CE59C754

60

28

1

6D8EE32D30E19D93A0E5AD8226BAE9CF6FCBA17CF6E

67FDC5A15A81ECB8908BEDD77C80

61

29

1

98F8BFDF774C7A249418E6FF4723D6E6AB2F091CDE4DE

1CE11D3BD463B509FB716940FD

62

30

1

65300BAD8FFA21BC7DC2C1F79FA97A9F469CCC9E270A

61759F34D6276F57CBEB009CD21

63

31

1

6F36BB6D5A7DC4FB720439E91FF0DE86DD6C4B93CFC4

271F2BCC6169616E3AEAA19E360

64

0

2

D27B00C70A8AA2C036ADD4E99D047A376B363FEDC287

B8FD1A7794818C5873ECD0D3D56

65

1

2

E7FDDCEED8D31B2C0752D976DE92BEA241A713CF818

C274AA1C2E3862C7EB7023AF35D4

66

2

2

87BF4954022D30549DF7348477EACB97AC3565B838460C

C62F242883313B15C31370335

67

3

2

82DD830BEDE4F13C76E4CF9AEF5E42609F0BDDCB000A

742B6372DD5225B0C3114494746

68

4

2

4E06E4CF46E1F5691938D7F40179D8F79A85216775384BD

97966DB4BBF49FB6FAB8F945

69

5

2

64164534569A5E670FDB390D09C04802DD6A16B022CAD

C77EDD7464AFED43C773A8DC76

70

6

2

FB8769A81AA9DB607F14A6A95948401F83057CDC9C9C3

996BA5821403A49F00A4E35191

71

7

2

77710D6F40B4F79CC63F678551C3EC18FA9DF2C82E6C8

F415DADFD63264B7513180070E

72

8

2

503F196BBF93C238BFD5E735E5AE52E0DAE64F5E2F4C3

B92E553F51303C4A64C4403BF3

73

9

2

5FD4A6894566678C95B9D5A59DDE5366799045FEB03A2

BAA74094140E9068C61C2E972C

74

10

2

95B584DC40C8B5DEAD63D48FCE65B1E61BAB4C597D9

21DB12677141E2FFE7C0AA3DA0D5

75

11

2

985763AB6CC8934DB8A0BE738A7AF1D1FA3958C1F9E2

D6A51A163E47A0A6E5FEB759FDD

76

12

2

FD8D45F00D943AD986BD353D61C6746DBF8A309B6AE1

C173B880D957B76DC031A957E8D

77

13

2

AE4323534F6EFB1A20169328417885EF304FA220389FA9C

2607E5A406F4CE4A7498A39F

78

14

2

E5205579893BE184CB9948C28E2F9AAF699D47B6E5E0B2

19CBEAFE4BEC8D561BD809E34

79

15

2

AB11D6941478D36D5695CE813070DC1E32122A39083E53

FE373660AEB125D83383FBDCA

80

16

2

188A09C46F1F11206FF9F15CFB5F6CD2F26C4BF485EE37

D3650A595064F76CE34E40EAD

81

17

2

4B1CDE25539A56CEDC45FE7F54C38CF155F4FB1AE868F

6C3952D07014BF828E810BDE2D

82

18

2

16CA8F8C6A879E865E3611EAC389D56AFA3E4E84CDBB

73567BA4A160249C4B680A7D9BC

83

19

2

39D2B08AA0E2E8781476027B41AD72F8D9838B7001AAD

FD33A92D81E56ECBB2C9378D58

84

20

2

8C258BC80D4AD125F335A5151EDF9E9A463E06C5C8D04

6F82E5DC3D73EF4D2231C5D14F

85

21

2

41A029C6356C825585179C5348EDF07A3AC2022539AC28

DC4CD3C1DFADC8EE9644CD939

86

22

2

0D70A77CBE9804913BFBEC4FBF917C5CD3580F6062BB

AD3F99ECEBB4A9EBB87523AB722

87

23

2

6A00A30901F9FDE44B4F1ECED44E0BCB943B29519F313

BE4496D34F39B154FC2384CB75

88

24

2

95351107A8BE6ABFC24C1292FE1A0FE677CBFD04F2E81

178CAA9D294730EF9C946F676E

89

25

2

01F21470FD9B1E0B3C6B2F7C0412A15764C277D61BA2E

E3B3769DE7ADACB2BB29918FB7

90

26

2

A578ABFE155369440FA3D4DF757CCA596469B80A0E56B

FE6010DD63E67CEDB86BB1EF39

91

27

2

1E1CFFAB031836777DE5D168A9246C559574C74CCC064

05EB406B8DDB7C9A6EF54A66A5

92

28

2

354149C2CA19A735F9CD04AF4922E8ECE6509B978B951

F946FD4AD36C7F9C83624205E7

93

29

2

5A27E60DEA547D0D41897A03199F28A967AC51728E3B3

8325B4FBECF1B85A7EE9B04182

94

30

2

784DA3B16B810FE3B851060AD7BD27D9D9457F6C8899A

13D311E531B855C15ECE6D3A2F

95

31

2

D7DFBC65797633A8C13D3EEC781D48952338136063B579

D69437B28B744B5A4BE18AFA9

96

0

0

61AF26BD39A9FFF52826625E04ADA299385A373FA946D

837D754E6CFEBB26F5C03B87CF

97

1

1

D77D97CDB93DBEAA65CAFA146F40D72B5E80944F750E

07325DC164ED60F32434BC7187D

98

2

2

4529D9CA65AF49C1C39BDC18CFAB87E03FE4DAFC0A4

8FF1457D46B0DF66B414A23ACDDB

99

3

0

33AC0261DAA57C1D611EBA1C730D50AFEE5BE3E84903

0A4E891BC8C5F4C78DCDDFEA263

100

4

1

BED48C704F02A84F03BCD299D919DA56F7B71EDF8A0F

8A25E8F8496F95A44CE2B9F74C9

101

5

2

0ECCBE0902EBF4B4C29506014A3706622784B7B2D5153E

10AD3112DC5E45277A32E79DE

102

6

0

7CB4937889C7DFD9AA2D37235E06F993D3D4F5D515B39

CA652F62397C08457D66BC5A36

103

7

1

43F23F6CAC6C43896B3EDBF00E1CBD42E2CC75E2A996

448F0FCF17F6779DD6E356FED11

104

8

2

72C8A209FBC4A568BEF03BCFE1B0D959F977B0963780B

4E54E2B9A1016344ACB7EE3E3A

105

9

0

77AEB9E50DC3727849A94FBFFCDB5B9589AF50ABD8A5

8808B9663058E17A2EBC496DF43

106

10

1

667123C89077FE4AAAEF15C635E976C6811682D478FFC7

B721A76B5A38697DF4FB7D2CE

107

11

2

CBD6C5C9BE55B0BE76AD03392E8A8AB9A86063DB31B

79280B447980BB841FD7E9DC6B9B

108

12

0

C7D7DEF8B3C9C8667D8D65063B4DAD1FF69445C87CA7

1DA955D0CA23970E988A6EA4C83

109

13

1

FB246ABD92F9E560CB2BEC2317204C9CE22AD3BD19EA

02E90F5F3B7F4F65538D8ED098E

110

14

2

29E74579472FDD8FFC2700B2BF33C649989DD8153093A7

CA08B50F7A5E4BAED108A0F0D

111

15

0

A27F29D8D6CCD7EB4BBE303C3E9E95802DB98BFD5B8

ED03B88304359D92E3EC108CA3C8

112

16

1

3FE70E26FA00327FE3B2BE6BC5D5014F588F09C17D222C

146DD68B4824692A651888C76

113

17

2

41E91307EC58801CFF2C7E9CFEFBEB71681FAE2BEAEC

72D4E4556E99345D3BA4B369B59

TABLE 6

Preambles modulation series for the 512 FFT mode

Num-

Cell-

Seg-

ber

Id

ment

Series to modulate (in Hexadecimal format)

0

0

0

66C9CB4D1C8F31D60F5795886EE02FFF6BE4

1

1

0

D8C30DA58B5ED71056C5D79032B80E05522C

2

2

0

8EB62664E3B2C5222DE18E9000561F25AAFC

3

3

0

3B32299087C257CD31C67E4AA5DD697B0E08

4

4

0

C07E0B0C5DB44071EE6CEC40CA3135CB5DB8

5

5

0

89B08CD299A8AC757DB59107AF4E1EF1EE1C

6

6

0

1B72E8C0ECFAABF050091382B411B45A718C

7

7

0

5B33ED5A6303397EC3CCC35C8203A5A05178

8

8

0

AD1173C461254BF9181238319F93F86AF964

9

9

0

51E2005BBA69C858BCC741D84990B657271C

10

10

0

21A03B607DD96F270CBC759B2A9BD6A84A34

11

11

0

4518EC4C7AD645D24AD949B42A7881403C7C

12

12

0

F8B70C595A37315D301D378A4D2848C821D4

13

13

0

FF42582005F8382C5CC6298D757155B36B24

14

14

0

599EF40107CBB3B30AF945365494A0D60570

15

15

0

C6D6BE87F0D88458ABD22DE822B64E450738

16

16

0

E043896829F236B10A35014D9E4F26ECB95C

17

17

0

2347472A610FC084C71460393AEF36CBE928

18

18

0

5F4D880DC516DC0B3860DA948225D2BC6770

19

19

0

9EFEEA99631FAF0D9589E9640BCD56C5FF08

20

20

0

FE792EF83B235B3D4A6447BED27035454BC0

21

21

0

B3B1B868C121C4555A64161B654A4FE81D70

22

22

0

B7C2D44078510ADD2447D93E8A1231AE3910

23

23

0

16A9D8F71CC1CD0EFA0008AA343A7A4ADA4C

24

24

0

7389FDE96166E7E40F7A6778AA02944937A4

25

25

0

A0598A0907798B3465DD8CBD08565F0FB5B8

26

26

0

0E75B3C128085C954A25E5808FC5833A8FB0

27

27

0

BBCDA362265B4D4D2BEE80F635E638316280

28

28

0

660047B06A1B5FAE6A9F0679DBCA9B1A2DF4

29

29

0

2594AE119CB87E802D67EF7EE0EAE99474CC

30

30

0

8FB3FA462D2CFAF842BB5319D9786A997C10

31

31

0

599E199B609C0C654DB053E8C94F343AAFF8

32

0

1

E0187D89220D11B5F60DAC078A5E2EED6EF0

33

1

1

69F57E074F14A10FEC6144C26E98C4688330

34

2

1

D2C4067132528AA41BBE61A9C171A382F768

35

3

1

B027CB82594D3900700B541A99CCD5FD5870

36

4

1

E9B565C61F73EC6633A1F2D96EC409495B80

37

5

1

EBD7E29110582C5951233AB22B03DE709698

38

6

1

0CCA91DA1B42B0B55C924F32B08B1FAE0E18

39

7

1

A4213FFB85B56E27C74FC6ECBA359875438C

40

8

1

1A37F92589686CFE5E4D4BFD8E2BC63AA8CC

41

9

1

31531C7B2F7518BF59ACFB216FC74D09F2F4

42

10

1

CE026112DF00BB74E1B1F43B595112B16344

43

11

1

503494DE054AE395883AEDD8CC7801B8F124

44

12

1

8447E25CA9A0EE1CFB9FADB6C42B8F565B3C

45

13

1

757C45DA8F140FB6E71024294B2439CDACFC

46

14

1

F2A59A32B51CE505E45E9B5C7C7DBE880DF4

47

15

1

8DFBF09479BC91E466A539E077D2B26A8B2C

48

16

1

1C6FB87D76DB82FFA1E492166684CACEE560

49

17

1

A32CF584137FDF1D4CCE6A1CF40FEC1F4AE0

50

18

1

EC4D3AC52136FA468F28777078C8A82C0808

51

19

1

30CABB208C9D6C774814A163765E4ACBC540

52

20

1

CA3448C6716F6F8D15D7372A3A4F6E825A14

53

21

1

ABD1526F4A510F820B689F30C1E7B88C8848

54

22

1

94E4E2AE2C4E47FD7D0A154C25BF40F759E0

55

23

1

43BFFD566D85BE162650670BE1A3CA523284

56

24

1

D7644475A2E5EDAD1AD184242E3C841A03E0

57

25

1

A61DDBA416D1D14358647C4ACEF2503001E4

58

26

1

1F9047A8651D4D4A7C582469DC8C41B68E08

59

27

1

E0EAC02D975263F36D4BEF70669CBDEE658C

60

28

1

DFAE7334BD2B8FF1D2C7CB5922823B03F744

61

29

1

D44B2AD5842F1EEA1A39DBC64EC064FCCFBC

62

30

1

08AD296C8D17ABD021E02E20DACC247673EC

63

31

1

2FE66830D806B3F8DD38D5FE1CF12DEB9774

64

0

2

C6325F42597BD48A8914944C7DB973D83E64

65

1

2

E04B98E9254434D3F765A621752C0F1FEC54

66

2

2

A74B60D84CCB156B1B8AE015B8CE980868EC

67

3

2

78E7405DCFDA1DFCDA6E54B3794B49A0F8B0

68

4

2

F32F4CA1A154E746FE1C2D1E4A1251779804

69

5

2

5A2905A1CF5D06444C880ADC07EB3889E71C

70

6

2

74290661C664DEB829569B7C4E6C32B2BE00

71

7

2

EBB53241F5D9CD87A612C0774ED2FED4679C

72

8

2

E33B89ABA4ED020D558B833AF74072922164

73

9

2

3B7D2DEEF829E230718AA7996CD814A4DD88

74

10

2

373861E8993FC22E176F6DA6A46A10158EF4

75

11

2

2BEA329B65DE1CD26ECDD382915AC40B1D0C

76

12

2

7A8B131BD5D1270C30003DA472DD81D9A434

77

13

2

9D6A237940057479D30BE19AD719F8F9B47C

78

14

2

C1FB9C3811B349E9F793A14C8AE8425A6218

79

15

2

DFFDE03D8C717A346B4B1D3C02693330A9B4

80

16

2

76254DEF89683CD7210898069E2CDA0EE144

81

17

2

09B9B69C132C4E2DC16A1438828147D65F94

82

18

2

B1CCE0D47DF246E9059CBC970168518206AC

83

19

2

1017669D7990F3AB4378924C69E442F2BAD0

84

20

2

772407B19C5FA41D542C8A2DC9ADD2C2943C

85

21

2

7A38C2889EB10D93F23EC75B212D327D18A8

86

22

2

D25A195D899BF6F531F5ECC228BE0678A438

87

23

2

A83FD1C33F4C6CAA5A0E8B062937AC310034

88

24

2

AA6DDD1A05ADF49F615BE9F9EBCA6630E440

89

25

2

B14990574937763EEBD71A12FEB0C673F878

90

26

2

DDF013D74BDDE5FBB621A32B54DE24AA1D60

91

27

2

D814295D387D2EE33F90C07CA493062B3054

92

28

2

89B93046231A786C3D74ABAEC6AFF42D037C

93

29

2

5680E918BA19199E841B4D6A7D1DD1420E78

94

30

2

639CC821373B332F975817C0A1AC16A48150

95

31

2

06711D78BD8978D82DA58B7E494DDF77E994

96

0

0

C882DD8DBD23C796A1389DA4EAA9A4138640

97

1

1

038086D70895496BCABC404B1EC999F67AC0

98

2

2

8203073A335DB9E57B0CA2F07D5958176B50

99

3

0

3FF1CD3638EE6469A4A482AF834EF56A2340

100

4

1

69EA7871159D5099F900C6133C07DABF56F0

101

5

2

4D88ABB17FF855393EDBC070CF0439D5E94C

102

6

0

01EFD43C87362B00E376A728BC597BEED978

103

7

1

7AE20D16F3CC6F947413518FDF6E1FCCCDE8

104

8

2

BB852F9A90B0DE260BB67F45491B31DE3A74

105

9

0

088627544BDF971C1AC4F86F05A212EE9634

106

10

1

0C8A08A37C2B9D3C1812E9C116B4E6A6285C

107

11

2

E74775CADDDDF0D2D808FE7FC1C177489284

108

12

0

E81ECC6AC393294E9B549A8B2BADE7FFF904

109

13

1

1C5FAE8CACE7A2CD13CAF4A34A440E909BF8

110

14

2

6EE7E42A292BDACC5C79B81CA6598274C940

111

15

0

407547BC0C961D9E9ADDE010F4990724E8DC

112

16

1

46CE626ACD894F9650E6B7C3F9E3BFAE5B08

113

17

2

C59B894FBF170F44F4816750280AB8CB4E48

TABLE 7

Preambles modulation series for the 128 FFT mode

Series to modulate (in

Number

CellId

Segment

Hexadecimal format)

0

0

0

01E52A9B3

1

1

0

C96FF8AB1

2

2

0

A1F5CE648

3

3

0

1E2BF6919

4

4

0

051798B72

5

5

0

932D7FA8E

6

6

0

2CBD50F73

7

7

0

F86F6A451

8

8

0

2BA44F7E7

9

9

0

EEFA172C3

10

10

0

FF46C729A

11

11

0

0362D5C61

12

12

0

27DDC7CA5

13

13

0

17EAEDAC6

14

14

0

94ACD9E03

15

15

0

1A1AC22DD

16

16

0

FD5E18DA6

17

17

0

35DEB6E0E

18

18

0

A0185E326

19

19

0

93B3F9C75

20

20

0

632481EA8

21

21

0

8BB8104A5

22

22

0

87C89EF75

23

23

0

207AA794C

24

24

0

6A4D1C403

25

25

0

7761B4BD7

26

26

0

31ABBF06D

27

27

0

69C6E455F

28

28

0

AB3B3CFF0

29

29

0

731412685

30

30

0

A3135C034

31

31

0

FECCB2B85

32

0

1

AA37BDA7C

33

1

1

90955CE1F

34

2

1

ADBC1B844

35

3

1

A04A3B197

36

4

1

015E56CB3

37

5

1

64D6F4038

38

6

1

D2DD02238

39

7

1

FEA763CB2

40

8

1

8CE0D5FB6

41

9

1

CC25D7A7E

42

10

1

7019D3A92

43

11

1

784CF7EAB

44

12

1

07085DAC8

45

13

1

4CEEB5E1F

46

14

1

9E5CD5B80

47

15

1

63A76FD05

48

16

1

AA276F96F

49

17

1

3370F5082

50

18

1

35A644170

51

19

1

16FD73B8B

52

20

1

EEE990E94

53

21

1

28A3120FC

54

22

1

C2FBC2993

55

23

1

880BCACD3

56

24

1

AFA4DB918

57

25

1

AE1E49884

58

26

1

F7945E264

59

27

1

38374CA42

60

28

1

5AAE39B00

61

29

1

138069E54

62

30

1

966707005

63

31

1

A5037759E

64

0

2

3FE158D96

65

1

2

AED3B839F

66

2

2

F5AE23268

67

3

2

1895E68BE

68

4

2

1443C94EC

69

5

2

929547307

70

6

2

A17D3230C

71

7

2

D54FC0C33

72

8

2

AB77F079C

73

9

2

C3CA00A66

74

10

2

025519879

75

11

2

6CF39F815

76

12

2

F69E451B1

77

13

2

91BC72EBF

78

14

2

F964A5447

79

15

2

F8CD36F4A

80

16

2

726A3C802

81

17

2

118D1B682

82

18

2

DED9E703A

83

19

2

3E8929773

84

20

2

2C64AA7F9

85

21

2

2249CEA0F

86

22

2

01363A94E

87

23

2

69D77721F

88

24

2

AE103C9B9

89

25

2

89E2A6940

90

26

2

A7BC42645

91

27

2

BBB6B9C0F

92

28

2

5BF7598F8

93

29

2

4AE4C79FE

94

30

2

1FDC748C9

95

31

2

877D5E6E4

96

0

0

0FE322452

97

1

1

4DC778B5F

98

2

2

ADD9E3F88

99

3

0

2C1C857DC

100

4

1

CFB4B5503

101

5

2

CD8505E21

102

6

0

82892F4CE

103

7

1

3979FD176

104

8

2

5FA49C311

105

9

0

BA7857B19

106

10

1

BC030C4CA

107

11

2

517F3CBD6

108

12

0

7E545BE73

109

13

1

DDCA69C3F

110

14

2

A01A2C8C7

111

15

0

1C0B64435

112

16

1

330282DF2

113

17

2

147FCCF4B

Table 6 illustrates another embodiment of a preambles modulation series per segment and Cellid, for the 512 FFT mode.

Suggested title: Table 307c, if included in the IEEE Standard.

Table 7 illustrates another embodiment of a preambles modulation series per segment and Cellid, for the 128 FFT mode.

Suggested title: Table 307d, if included in the IEEE Standard.

Preamble properties: the preambles were chosen using a computer search which minimizes the PAPR and cross-correlation properties (or a coherent/slow or differential/fast cell search).

The graphs in FIGS. 1 to 6 illustrate these properties.

The following method may be used to compute codes such as those presented in this disclosure, see FIG. 8.

To evaluate the performance of each code, a cellular model was used, see FIG. 7, which includes a first cell 11 surrounded by a first tier 12 of 6 cells and a second tier 13 of 12 cells, 19 cells in total.

Each cell may have three sectors separated in frequency, groups F1, F2 and F3; in another embodiment, the cells may have six sectors each.

F1, F2, F3 each may refer to an orthogonal set of subcarriers.

For a group of 19 cells with 6 segments each, the total number is 19×6=144

We are looking for a randomizer that will achieve best performance from the aspects of Crest Factor/PAPR and/or Cross-correlation, for the above possible scenarios.

The various codes generated as detailed below have been evaluated with reference to the above model, see also FIG. 7.

Method for Codes Generation

1. For each of the FFT modes: 128, 512, 1024, performing the following steps (2-4) [21]:

2. Generating various codes, pseudo-random simulation [22]

3. Codes evaluation in a predefined model, including a wireless cell, a first tier including 6 cells and a second tier including 12 cells, 19 cells in total [23].

The present invention refers to improvements in wireless communications. It describes improved preamble codes having a lower PAPR value.

A lower PAPR allows to boost the preamble to get better performance in the estimation/acquisition/cell monitoring, etc.

The present disclosure includes improvements in the 1024, 512 and 128 FFT OFDMA modes.

Tables with series to modulate, for different FFT sizes, are disclosed in the present application.

It will be recognized that the foregoing is but one example of an apparatus and method within the scope of the present invention and that various modifications will occur to those skilled in the art upon reading the disclosure set forth hereinbefore.